Question 13 0/1.5 points Consider the two-period model. Consumer's have preferences over current and future consumption (c and c). Households only receive income in the second period, y! That is, income in the first period is equal to zero, y=0. Households can save, s, for the second period and receive interest rate r. The slope of the budget constraint is -(1+r). As such, an increase in r would increase the slope in (c,c') space (the standard graph). The government implements a proportional income tax, O

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Chapter9: Aggregate Expenditures
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Question 13
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Consider the two-period model. Consumer's have preferences over current and future consumption (c and
c). Households only receive income in the second period, y! That is, income in the first period is equal to
zero, y=0. Households can save, s, for the second period and receive interest rate r. The slope of the budget
constraint is
-(1+r). As such, an increase in r would increase the slope in (c,c') space (the standard graph).
The government implements a proportional income tax, O<ty'<1, but only in the second period. Derive the
period budget constraints and use it to find the present value budget constraint (PVBC). Use the PVBC to
solve for the slope of the budget constraint in (c,c') space. Relative to the case of no tax, how does the
slope of the budget contraint change?
Increases
Decreases
Stays the same
Ambiguous
Transcribed Image Text:Question 13 0/1.5 points Consider the two-period model. Consumer's have preferences over current and future consumption (c and c). Households only receive income in the second period, y! That is, income in the first period is equal to zero, y=0. Households can save, s, for the second period and receive interest rate r. The slope of the budget constraint is -(1+r). As such, an increase in r would increase the slope in (c,c') space (the standard graph). The government implements a proportional income tax, O<ty'<1, but only in the second period. Derive the period budget constraints and use it to find the present value budget constraint (PVBC). Use the PVBC to solve for the slope of the budget constraint in (c,c') space. Relative to the case of no tax, how does the slope of the budget contraint change? Increases Decreases Stays the same Ambiguous
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